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interprime n.  and  junction n.

First numbers that belong to both sets:

105, 111, 309, 315, 414, 420, 515, 610, 618, 723, 810, 816, 822, 909, 915, 1003, 1011, 1016, 1020, 1026, 1106, 1207, 1215, 1320, 1611, 1722, 1817, 1910, 1922, 2014, 2105, 2210, 2414, 2420, 2709, 2826, 2913, 3015, 3114, 3120, 3213, 3219, 3310, 3316, 3423, 3514, 3522, 3615, 3714, 3914, 3918, 3926, 4010, 4016, 4105, 4119, 4206, 4214, 4218, 4422, 4515, 4521, 4612, 4824, 4925, 5016, 5022, 5110, 5116, 5316, 5415, 5425, 5520, 5524, 5714, 5817, 6020, 6107, 6117, 6214, 6424, 6525, 6628, 6828, 7007, 7124, 7209, 7326, 7425, 7512, 7520, 7526, 7720, 7930, 8010, 8014, 8214, 8220, 8226, 8323, 8426, 8517, 8616, 8628, 8725, 8820, 8826, 8931, 9009, 9021, 9118, 9215, 9516, 9621, 9720, 9823, 9831, 9926, 9930, 10023, 10217, 10308, 10413, 10710, 10815, 11015, 11103, 11115, 11305, 11319, 11511, 11523, 11709, 11725, 11810, 11824, 11925, 12009, 12024, 12104, 12108, 12116, 12207, 12219, 12312, 12411, 12417, 12514, 12522, 12815, 12914, 12918, 13008, 13021, 13115, 13218, 13311, 13414, 13616, 13818, 13917, 14020, 14312, 14322, 14409, 14415, 14421, 14526, 14720, 14817, 14829, 14926, 15208, 15222, 15420, 15519, 15624, 15729, 15820, 15921, 16020, 16310, 16326, 16419, 16524, 16613, 16625, 16716, 16817, 16924, 17016, 17031, 17220, 17319, 17418, 17529, 17616, 17721, 17832, 18120, 18124, 18312, 18522, 18627, 18716, 18821, 18918, 19022, 19212, 19216, 19422, 19428, 19519, 19733, 19830, 19923, 20004, 20026, 20115, 20210, 20515, 20725, 20925, 21015, 21018, 21104, 21114, 21318, 21413, 21510, 21522, 21615, 21720, 21819, 21920, 22008, 22029, 22117, 22521, 22616, 22620, 22713, 22719, 22814, 22929, 23007, 23019, 23024, 23028, 23108, 23316, 23324, 23520, 23625, 23823, 23829, 23914, 24021, 24111, 24117, 24323, 24410, 24416, 24420, 24513, 24721, 24921, 25022, 25032, 25114, 25124, 25417, 25615, 25627, 25916, 25932, 26010, 26019, 26025, 26109.

Some larger examples :